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Finding the Fourth Proportional to 960.58, 1,439.83 and 465.94

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Solution

The fourth proportional to 960.58, 1,439.83 and 465.94 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.58 : 1,439.83 = 465.94 : x
  2. Step 2: Convert to fraction form
    960.58/1,439.83 = 465.94/x
  3. Step 3: Cross multiply
    960.58x = 1,439.83 × 465.94
  4. Step 4: Simplify right side
    960.58x = 670,874.39
  5. Step 5: Solve for x
    x = 670,874.39/960.58
  6. Step 6: Final answer
    x = 698.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.